isometry

From New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μετρία (-metría), from ἴσος (ísos, “equal”) and μέτρον (métron, “measurement”) + -ια (-ia, “-y”). Equivalent to iso- +‎ -metry.

isometry (plural isometries)

1. (mathematics) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.

   Isometry is to metric spaces what isomorphism is to groups.

• quasiisometry

• isometric
• isometer
• isometrograph

• merosity